Understanding Cyclic Codes in Wireless Communication — Lesson 2

This lesson covers the concept of cyclic codes in wireless communication. It delves into the various coding techniques used in mobile communication, with a focus on Galois field, linear block codes, and BCH codes. The lesson also explains the properties of a Galois field and how it is used in error control coding. It further discusses the concept of cyclic codes, their representation as polynomials, and their ability to correct burst errors. The lesson concludes with a brief introduction to BCH codes, a subclass of cyclic codes, and their importance in wireless communication.

Video Highlights

01:16 - Introduction to wireless communications and coding techniques
03:57 - Explanation of the objective of error control coding
05:59 - Introduction to the domain of polynomials
09:16 - Explanation of the concept of a prime polynomial
18:18 - Discussion on the properties of cyclic codes
39:11 - Explanation of the concept of a burst error
45:50 - Explanation of the concept of a Reed Solomon code
48:06 - Conclusion and summary of the lecture

Key Takeaways

- Cyclic codes are a subclass of linear block codes and are used in wireless communication for error control coding.
- Galois field is a set of elements with two operations, addition and multiplication, that satisfy eight properties. It plays a crucial role in error control coding.
- Cyclic codes can be represented as polynomials, which simplifies the process of error detection and correction.
- Cyclic codes are effective in correcting burst errors, which are common in mobile environments due to deep fades.
- BCH codes, a subclass of cyclic codes, are known for their multiple error correcting capabilities and ease of decoding and encoding.